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Lexicographic and Depth-Sensitive Margins in Homogeneous and
  Non-Homogeneous Deep Models

Lexicographic and Depth-Sensitive Margins in Homogeneous and Non-Homogeneous Deep Models

17 May 2019
Mor Shpigel Nacson
Suriya Gunasekar
J. Lee
Nathan Srebro
Daniel Soudry
ArXivPDFHTML

Papers citing "Lexicographic and Depth-Sensitive Margins in Homogeneous and Non-Homogeneous Deep Models"

25 / 25 papers shown
Title
The late-stage training dynamics of (stochastic) subgradient descent on homogeneous neural networks
Sholom Schechtman
Nicolas Schreuder
158
0
0
08 Feb 2025
Implicit Bias of AdamW: $\ell_\infty$ Norm Constrained Optimization
Implicit Bias of AdamW: ℓ∞\ell_\inftyℓ∞​ Norm Constrained Optimization
Shuo Xie
Zhiyuan Li
OffRL
47
13
0
05 Apr 2024
ReLU Neural Networks with Linear Layers are Biased Towards Single- and Multi-Index Models
ReLU Neural Networks with Linear Layers are Biased Towards Single- and Multi-Index Models
Suzanna Parkinson
Greg Ongie
Rebecca Willett
62
6
0
24 May 2023
Implicit Bias of Gradient Descent for Logistic Regression at the Edge of
  Stability
Implicit Bias of Gradient Descent for Logistic Regression at the Edge of Stability
Jingfeng Wu
Vladimir Braverman
Jason D. Lee
26
17
0
19 May 2023
Understanding Incremental Learning of Gradient Descent: A Fine-grained
  Analysis of Matrix Sensing
Understanding Incremental Learning of Gradient Descent: A Fine-grained Analysis of Matrix Sensing
Jikai Jin
Zhiyuan Li
Kaifeng Lyu
S. Du
Jason D. Lee
MLT
54
34
0
27 Jan 2023
Regression as Classification: Influence of Task Formulation on Neural
  Network Features
Regression as Classification: Influence of Task Formulation on Neural Network Features
Lawrence Stewart
Francis R. Bach
Quentin Berthet
Jean-Philippe Vert
27
24
0
10 Nov 2022
On the Implicit Bias in Deep-Learning Algorithms
On the Implicit Bias in Deep-Learning Algorithms
Gal Vardi
FedML
AI4CE
34
72
0
26 Aug 2022
Reconstructing Training Data from Trained Neural Networks
Reconstructing Training Data from Trained Neural Networks
Niv Haim
Gal Vardi
Gilad Yehudai
Ohad Shamir
Michal Irani
40
132
0
15 Jun 2022
Neural Collapse: A Review on Modelling Principles and Generalization
Neural Collapse: A Review on Modelling Principles and Generalization
Vignesh Kothapalli
23
71
0
08 Jun 2022
Thinking Outside the Ball: Optimal Learning with Gradient Descent for
  Generalized Linear Stochastic Convex Optimization
Thinking Outside the Ball: Optimal Learning with Gradient Descent for Generalized Linear Stochastic Convex Optimization
I Zaghloul Amir
Roi Livni
Nathan Srebro
27
6
0
27 Feb 2022
Implicit Regularization in Hierarchical Tensor Factorization and Deep
  Convolutional Neural Networks
Implicit Regularization in Hierarchical Tensor Factorization and Deep Convolutional Neural Networks
Noam Razin
Asaf Maman
Nadav Cohen
46
29
0
27 Jan 2022
On the Equivalence between Neural Network and Support Vector Machine
On the Equivalence between Neural Network and Support Vector Machine
Yilan Chen
Wei Huang
Lam M. Nguyen
Tsui-Wei Weng
AAML
19
18
0
11 Nov 2021
On Margin Maximization in Linear and ReLU Networks
On Margin Maximization in Linear and ReLU Networks
Gal Vardi
Ohad Shamir
Nathan Srebro
50
28
0
06 Oct 2021
Understanding the role of importance weighting for deep learning
Understanding the role of importance weighting for deep learning
Da Xu
Yuting Ye
Chuanwei Ruan
FAtt
33
43
0
28 Mar 2021
On the Implicit Bias of Initialization Shape: Beyond Infinitesimal
  Mirror Descent
On the Implicit Bias of Initialization Shape: Beyond Infinitesimal Mirror Descent
Shahar Azulay
E. Moroshko
Mor Shpigel Nacson
Blake E. Woodworth
Nathan Srebro
Amir Globerson
Daniel Soudry
AI4CE
30
73
0
19 Feb 2021
The Implicit Bias for Adaptive Optimization Algorithms on Homogeneous
  Neural Networks
The Implicit Bias for Adaptive Optimization Algorithms on Homogeneous Neural Networks
Bohan Wang
Qi Meng
Wei Chen
Tie-Yan Liu
22
33
0
11 Dec 2020
Implicit Bias in Deep Linear Classification: Initialization Scale vs
  Training Accuracy
Implicit Bias in Deep Linear Classification: Initialization Scale vs Training Accuracy
E. Moroshko
Suriya Gunasekar
Blake E. Woodworth
J. Lee
Nathan Srebro
Daniel Soudry
35
85
0
13 Jul 2020
Shape Matters: Understanding the Implicit Bias of the Noise Covariance
Shape Matters: Understanding the Implicit Bias of the Noise Covariance
Jeff Z. HaoChen
Colin Wei
J. Lee
Tengyu Ma
29
93
0
15 Jun 2020
Implicit Regularization in Deep Learning May Not Be Explainable by Norms
Implicit Regularization in Deep Learning May Not Be Explainable by Norms
Noam Razin
Nadav Cohen
24
155
0
13 May 2020
An Optimization and Generalization Analysis for Max-Pooling Networks
An Optimization and Generalization Analysis for Max-Pooling Networks
Alon Brutzkus
Amir Globerson
MLT
AI4CE
11
4
0
22 Feb 2020
Implicit Bias of Gradient Descent for Wide Two-layer Neural Networks
  Trained with the Logistic Loss
Implicit Bias of Gradient Descent for Wide Two-layer Neural Networks Trained with the Logistic Loss
Lénaïc Chizat
Francis R. Bach
MLT
16
327
0
11 Feb 2020
Improved Sample Complexities for Deep Networks and Robust Classification
  via an All-Layer Margin
Improved Sample Complexities for Deep Networks and Robust Classification via an All-Layer Margin
Colin Wei
Tengyu Ma
AAML
OOD
36
85
0
09 Oct 2019
Beyond Linearization: On Quadratic and Higher-Order Approximation of
  Wide Neural Networks
Beyond Linearization: On Quadratic and Higher-Order Approximation of Wide Neural Networks
Yu Bai
J. Lee
21
116
0
03 Oct 2019
Gradient Descent Maximizes the Margin of Homogeneous Neural Networks
Gradient Descent Maximizes the Margin of Homogeneous Neural Networks
Kaifeng Lyu
Jian Li
37
321
0
13 Jun 2019
On Large-Batch Training for Deep Learning: Generalization Gap and Sharp
  Minima
On Large-Batch Training for Deep Learning: Generalization Gap and Sharp Minima
N. Keskar
Dheevatsa Mudigere
J. Nocedal
M. Smelyanskiy
P. T. P. Tang
ODL
287
2,890
0
15 Sep 2016
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